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12011005061660 = 22511193727770981
BaseRepresentation
bin1010111011001000011110…
…1100001010101000011100
31120112020111121001011022202
42232302013230022220130
53033242014243433120
641313440214431032
72346523621336253
oct256620754125034
946466447034282
1012011005061660
11391092525a590
12141b991362478
1369182c69a0a7
142d749b40979a
1515c67915e875
hexaec87b0aa1c

12011005061660 has 96 divisors (see below), whose sum is σ = 28972146631680. Its totient is φ = 4136646931200.

The previous prime is 12011005061569. The next prime is 12011005061663. The reversal of 12011005061660 is 6616050011021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011005061663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15193370 + ... + 15964350.

It is an arithmetic number, because the mean of its divisors is an integer number (301793194080).

Almost surely, 212011005061660 is an apocalyptic number.

12011005061660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011005061660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14486073315840).

12011005061660 is an abundant number, since it is smaller than the sum of its proper divisors (16961141570020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12011005061660 is a wasteful number, since it uses less digits than its factorization.

12011005061660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774747 (or 774745 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

Adding to 12011005061660 its reverse (6616050011021), we get a palindrome (18627055072681).

The spelling of 12011005061660 in words is "twelve trillion, eleven billion, five million, sixty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 3727 4180 7454 14908 18635 37270 40997 70813 74540 81994 141626 163988 204985 283252 354065 409970 708130 770981 778943 819940 1416260 1541962 1557886 3083924 3115772 3854905 3894715 7709810 7789430 8480791 14648639 15419620 15578860 16961582 29297278 33923164 42403955 58594556 73243195 84807910 146486390 161135029 169615820 292972780 322270058 644540116 805675145 1611350290 2873446187 3222700580 5746892374 11493784748 14367230935 28734461870 31607908057 54595477553 57468923740 63215816114 109190955106 126431632228 158039540285 218381910212 272977387765 316079080570 545954775530 600550253083 632158161140 1091909551060 1201100506166 2402201012332 3002751265415 6005502530830 12011005061660